Multiplying and Dividing Radicals

Which of these expressions CANNOT be multiplied together?

• (³√6)(√7)
• (⁴√3)(⁴√18)
• (√16)(√4)
• (³√5)(³√-25)

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

 $2\sqrt{30n^3}\cdot7\sqrt{6n^5}$  

•  $84n^4\sqrt{5}$  

•  $14n^4\sqrt{5}$  

•  $14\sqrt{30n^8}$  

•  $84n^8\sqrt{5}$  

Tags

CCSS.HSN.RN.A.2

 $\sqrt{20}\left(4+\sqrt{10}\right)$  

•  $8\sqrt{5}+10\sqrt{2}$  

•  $4\sqrt{20}+10\sqrt{2}$  

•  $2\sqrt{10}+10\sqrt{2}$  

•  $4\sqrt{5}+10\sqrt{2}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the following expression:
√4(√5 - 3√4)

• √20 - 3√16
• 2√5 - 12
• √20 - 12
• 2√5 - 48

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $-3\sqrt{3}\left(\sqrt{8}+5\sqrt{2}\right)$  

•  $-3\sqrt{6}$  

•  $-6\sqrt{6}-15\sqrt{6}$  

•  $-21\sqrt{6}$  

•  $-3\sqrt{24}-15\sqrt{6}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\left(3\ +\ \sqrt{7}\right)\left(3\ -\ \sqrt{7}\right)$  

• 1

• 2

•  $3\sqrt{7}$  

• 21

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

 $\left(\sqrt{6}-\sqrt{2}\right)\left(\sqrt{8}+4\right)$  

•  $\sqrt{48}-\sqrt{8}$  

•  $\sqrt{4}-\sqrt{8}$  

•  $\sqrt{48}+4\sqrt{6}-\sqrt{16}-4\sqrt{2}$  

•  $4\sqrt{3}+4\sqrt{6}-4-4\sqrt{2}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify $\frac{\sqrt{200}}{\sqrt{2}}$  

•  $\sqrt{10}$  

• 10

•  $\sqrt{100}$  

• 100

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify

• 
• 
• 
• 

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

SImplify:

• 5√6

• 25√6

• √150

• 10√15

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2